5(4x-1)-2(5x-5)=20x+1

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Solution for 5(4x-1)-2(5x-5)=20x+1 equation:


Simplifying
5(4x + -1) + -2(5x + -5) = 20x + 1

Reorder the terms:
5(-1 + 4x) + -2(5x + -5) = 20x + 1
(-1 * 5 + 4x * 5) + -2(5x + -5) = 20x + 1
(-5 + 20x) + -2(5x + -5) = 20x + 1

Reorder the terms:
-5 + 20x + -2(-5 + 5x) = 20x + 1
-5 + 20x + (-5 * -2 + 5x * -2) = 20x + 1
-5 + 20x + (10 + -10x) = 20x + 1

Reorder the terms:
-5 + 10 + 20x + -10x = 20x + 1

Combine like terms: -5 + 10 = 5
5 + 20x + -10x = 20x + 1

Combine like terms: 20x + -10x = 10x
5 + 10x = 20x + 1

Reorder the terms:
5 + 10x = 1 + 20x

Solving
5 + 10x = 1 + 20x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-20x' to each side of the equation.
5 + 10x + -20x = 1 + 20x + -20x

Combine like terms: 10x + -20x = -10x
5 + -10x = 1 + 20x + -20x

Combine like terms: 20x + -20x = 0
5 + -10x = 1 + 0
5 + -10x = 1

Add '-5' to each side of the equation.
5 + -5 + -10x = 1 + -5

Combine like terms: 5 + -5 = 0
0 + -10x = 1 + -5
-10x = 1 + -5

Combine like terms: 1 + -5 = -4
-10x = -4

Divide each side by '-10'.
x = 0.4

Simplifying
x = 0.4

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